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JEE Main 2004 (AIEEE) · Comparing Two Projectiles

Comparing Two Projectiles question from JEE Main 2004 (AIEEE)

Q28JEE Main 2004 · AIEEEMedium

Comparing Two Projectiles

A projectile can have the same range 'R' for two angles of projection. If T1 and T2 be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

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Answer: (a)

  1. For angles θ\theta and 90∘−θ90^\circ - \theta: T1T2=2usin⁡θg⋅2ucos⁡θgT_1 T_2 = \frac{2u\sin\theta}{g}\cdot\frac{2u\cos\theta}{g}
  2. =2g⋅u2sin⁡2θg=2Rg= \frac{2}{g}\cdot\frac{u^2\sin 2\theta}{g} = \frac{2R}{g}
  3. So T1T2∝RT_1 T_2 \propto R, answer (a).
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